Question

What is the angle?

what is the angle between `0` and `2pi` in radians that is coterminal with the angle `14/5pi` in radians

Answer 1

The coterminal angle is `4pi/5`

Explanation:

Please observe that `14pi/5 > 2pi`, therefore, we subtract `2pi` from `14pi/5`:

`14pi/5- 2pi= 14pi/5- 10pi/5 = 4pi/5`

Answer 2

`(6pi)/5`

Explanation:

Call t the angle (or arc).
`t = (14pi)/5 = (4pi)/5 + (10pi)/5 = (4pi)/5 + 2pi`
`t = (4pi)/5`
The co-terminal angle (or arc) to `t = (4pi)/5` is:
`u = 2pi - (4pi)/5 = (10pi)/5 - (4pi)/5 = (6pi)/5`